i don't think so, i know many Mp's are already overloaded with immigration cases, wait til they get *5 the workload who do you think they will blame and dont you think everyone of those 30,000 who are refused a visa will contact their MP ? of course you will.
in simple terms 30000 refused a visa / 650 mp's = 46 refusal each, nearly every week another person will be why their visa is refused and why they as a British citizen, some who have never claimed benefits , cant bring their partner to the UK,